yes you can effectively stave whilst eating as much rabbit as you like if you eat nothing but rabbit
this is due to rabbits having very little fat and so providing little in usable calories to fuel the body (they are almost entirely protein)
also remember that a low fat, high protien diet will cause your body to eliminate fluids quicker, release your stored body fats, and other toxins, placing extra stress on the kidneys. Very high levels of protien also plays havoc with your brain chemistry After a few days this can be dangerous, and in extreme, prolonged cases deadly.
It's a serious problem for survival in a tropical coastal, or Island scenario where the only readily available food is fish.
Trendy high protien diets may well enable rapid weight loss, but they put one hell of a strain on the body. I know a few blokes who have gone on the atkins, and all have lost weight, but all of them have also suffered side effects. My brother in law gave up after 5 days on the Atkins. He was suffering from cramps, and started to look like someone with hepatitis.
Before critisising another, first walk a mile in thier shoe's...Then if they take exception, your a mile away, and they can't chase you.